Title :
Parameter estimation in the multidimensional Stefan problem
Author_Institution :
Dept. of Math., North Carolina Univ., Chapel Hill, NC, USA
Abstract :
A numerical algorithm for the estimation of unknown parameters in the multidimensional Stefan problem is described. The moving boundary is treated as an additional unknown parameter, rather than as a dynamic state of the system. A similar algorithm has been tested for the one-dimensional Stefan problem and appears to be robust under noisy observations. A convergence result is stated, and results for a simpler numerical example are presented
Keywords :
convergence; distributed parameter systems; heat transfer; parameter estimation; convergence; distributed parameter systems; heat transfer; multidimensional Stefan problem; noisy observations; one-dimensional Stefan problem; parameter estimation; Boundary conditions; Convergence of numerical methods; Differential equations; Ice; Mathematics; Multidimensional systems; Parameter estimation; Partial differential equations; Robustness; Testing;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70189
